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y = f(x) + d
Translation up by d (x, y+d)
y = f(x) - d
Translation down by d (x, y-d)
y = f(x + c)
Translation left by c (x-c, y)
y = f(x - c)
Translation right by c
y = -f(x)
Reflection in the x axis (x, -y)
y = f(-x)
Reflection in y axis (-x, y)
y = af(x)
- Vertical stretch for |a| > 1
- Vertical compression for 0 < |a| < 1
y = f(bx)
- Vertical compression for |b| > 1 by scale factor 1/b
- Vertical stretch for 0 < |b| < 1 by scale factor 1/b